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LCM of 682, 616, 176, 679, 532

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 682, 616, 176, 679, 532 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 682, 616, 176, 679, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,616,176,679,532

Given numbers are 682,616,176,679,532

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 682,616,176,679,532 is 70387856.

Find LCM of 682,616,176,679,532 with Prime Factorization


2 682, 616, 176, 679, 532
2 341, 308, 88, 679, 266
2 341, 154, 44, 679, 133
7 341, 77, 22, 679, 133
11 341, 11, 22, 97, 19
31, 1, 2, 97, 19

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 7 x 11 x 31 x 1 x 2 x 97 x 19 = 70387856

Therefore, the lowest common multiple of 682,616,176,679,532 is 70387856.

LCM Formula to Find Lowest Common Multiple of 682,616,176,679,532

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

682 x 616 x 176 x 679 x 532 = 26709094286336

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

682 : 1, 2, 11, 22, 31, 62, 341, 682

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

679 : 1, 7, 97, 679

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,616,176,679,532, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

616:2x 2x 2x 7x 11

176:2x 2x 2x 2x 11

679:7x 97

532:2x 2x 7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 7x 7x 11x 11 = 379456

Therefore, the value for common factors is 379456.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 26709094286336/(1x379456)

LCM = 26709094286336/379456

LCM = 70387856

Thus, we can understand that the LCM of 682,616,176,679,532 is 70387856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 616, 176, 679, 532

1. What is the LCM of 682, 616, 176, 679, 532?

Answer: LCM of 682, 616, 176, 679, 532 is 70387856.

2. How to calculate the LCM of 682, 616, 176, 679, 532?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 682, 616, 176, 679, 532.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.